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Finding the Third Proportional to 311,522.20 and 680,703.75

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Solution

The third proportional to 311,522.20 and 680,703.75 is: 1,487,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,522.20 : 680,703.75 = 680,703.75 : x
  2. Step 2: Convert to fraction form
    311,522.20/680,703.75 = 680,703.75/x
  3. Step 3: Cross multiply
    311,522.20x = 680,703.75 × 680,703.75
  4. Step 4: Simplify right side
    311,522.20x = 463,357,595,264.06
  5. Step 5: Solve for x
    x = 463,357,595,264.06/311,522.20
  6. Step 6: Final answer
    x = 1,487,398.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.